1. A cylindrical tank with a valve at the base empties at a rate described by: dy dt = -k√y where y is the height of the tank, t is time, and k is a constant that depends on various factors including the tank's cross-sectional area, the shape of the valve, density of the fluid, and viscosity of the fluid. If k= 0.075, and the tank initially has 2 m of fluid, how long would it take to empty the tank? Apply Euler's method to solve this problem, you may use the computer package of your choice. a. Generate plot of height of the tank versus time for at least 5 different time-step (h) values. b. What is the largest time-step that can predict how long would it take to empty the tank to the second?
1. A cylindrical tank with a valve at the base empties at a rate described by: dy dt = -k√y where y is the height of the tank, t is time, and k is a constant that depends on various factors including the tank's cross-sectional area, the shape of the valve, density of the fluid, and viscosity of the fluid. If k= 0.075, and the tank initially has 2 m of fluid, how long would it take to empty the tank? Apply Euler's method to solve this problem, you may use the computer package of your choice. a. Generate plot of height of the tank versus time for at least 5 different time-step (h) values. b. What is the largest time-step that can predict how long would it take to empty the tank to the second?
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:1. A cylindrical tank with a valve at the base empties at a rate described by:
dy
dt
=
-k√y
where y is the height of the tank, t is time, and k is a constant that depends on various factors
including the tank's cross-sectional area, the shape of the valve, density of the fluid, and
viscosity of the fluid.
If k = 0.075, and the tank initially has 2 m of fluid, how long would it take to empty the tank?
Apply Euler's method to solve this problem, you may use the computer package of your choice.
a. Generate plot of height of the tank versus time for at least 5 different time-step (h) values.
b. What is the largest time-step that can predict how long would it take to empty the tank to the
second?
Expert Solution
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Time required to empty the tank is to be calculated.
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